Geodesic
Homology of dendroidal sets
Homology, homotopy, and applications, Tome 19 (2017) no. 1, pp. 111-134.

Voir la notice de l'article provenant de la source International Press of Boston

We define for every dendroidal set $X$ a chain complex and show that this assignment determines a left Quillen functor. Then we define the homology groups $H_n (X)$ as the homology groups of this chain complex. This generalizes the homology of simplicial sets. Our main result is that the homology of $X$ is isomorphic to the homology of the associated spectrum $\mathcal{K}(X)$ as discussed in previous work by the authors. Since these homology groups are sometimes computable we can identify some spectra $\mathcal{K}(X)$ which we could not identify before.
DOI : 10.4310/HHA.2017.v19.n1.a6
Classification : 19D55, 55P42, 55U15, 55U35
Keywords: homology, dendroidal set 
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     title = {Homology of dendroidal sets},
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Matija Bašić; Thomas Nikolaus. Homology of dendroidal sets. Homology, homotopy, and applications, Tome 19 (2017) no. 1, pp. 111-134. doi : 10.4310/HHA.2017.v19.n1.a6. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2017.v19.n1.a6/

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